مشخصات پژوهش

خانه /The Exponential T-X Family of ...
عنوان
The Exponential T-X Family of Distributions: Properties and an Application to Insurance Data
نوع پژوهش مقالات در نشریات
کلیدواژه‌ها
heavy-tailed, T-X, weibull distribution
چکیده
Heavy-tailed distributions play a prominent role in actuarial and financial sciences. In this paper, we introduce a family of distributions that we refer to as exponential T-X (ETX) family. Based on the proposed approach, a new extension of the Weibull model is introduced. (e proposed model is very flexible in modeling heavy-tailed data. Some mathematical properties are derived, and maximum likelihood estimates of the model parameters are obtained. A Monte Carlo simulation study is conducted to evaluate the performance of the maximum likelihood estimators. Actuarial measures such as value at risk and tail value at risk are also calculated. A simulation study based on these actuarial measures is provided. Finally, an application to a heavy-tailed automobile insurance claim data set is presented. (e proposed model is compared with some well-known competing distributions.
پژوهشگران زبیر احمد (نفر اول)، عیسی محمودی (نفر دوم)، مراد علیزاده (نفر سوم)، رسول روزگار (نفر چهارم)، احمد عفیفی (نفر پنجم)